Maxwell equations Definition and 141 Threads

Hello, so I was asked a question in two parts (Peskin & Schroeder problem 2.1). The first part asked me to derive the source-free Maxwell's equations from the action: S=\int{d^4 x \frac{-1}{4}F_{\mu\nu}F^{\mu\nu}} Given that the vector potential itself is the dynamical variable. I derived...

Homework Statement Consider an isotropic medium with constant conductivity \sigma. There is no free charge present, that is, \rho = 0. a)What are the appropriate Maxwell equations for this medium? b)Derive the damped wave equation for the electric field in the medium. Assume Ohm's...

Maxwell equations are 8. we need them to determine electric and magnetic field. the component of magnetic and electric field are 6. in linear algebra say for solving a system of equation with n free variable, we need n equations to solving it uniquely. here arises a question and that...

every people know that covariance principle is important in physics. before Lorentz transformations and special relativity, how we can check covariance principle about Maxwell 's equations?

See Subject. What engineering tasks do they regularly get used? Building high-frequency components, antennas?

Maxwell equations are based on the wave nature of electromagnetism so they can't explain why the electron revolving in Bohr's orbit does not emit radiations.So my question is can't the Maxwell equations be modified according to the particle nature(quanta) of electromagnetism

hi i asked myself whether it is possible to solve the partial differential equation rot E=-dB/dt for the electric field. i assumed that at least for a few right hand sides this should be possible, but i have never seen anybody doing this.

I need some help figuring out if this document is correct: http://spazio.110mb.com/maxwell.pdf I tried to translate it into english but is far too complex for my english, so I tried to summarize it with a couple of images: http://spazio.110mb.com/immagini/maxwell.html I'd like to know...

hello Can someone write me the proof, according to Maxwell's equation for magnetic field behaves like a wave?? thanks

[b]1. Show that: electric field E(x,t) = [0, Eo, 0] * f(kx-wt) magnetic field B(x,t) = [0, 0, Bo] * f(kx-wt) (where k, w, Eo, Bo are constants) satisfy the Maxwell equations in a vacuum where charge and current densities are zero. What relation between k and w must hold for a...

Hi folks, I was wondering how to code a Maxwell solver for a problem with time-dependent boundary conditions. This is not my homework, but I love programming and would like to implement what I learned in my physics undergrad course to get a better understanding. More precisely, if I have an...

I have almost completed whole the derivation of maxwell equations but didn't get the answer that what was the purpose of Maxwell Equations. where these are beneficial. where we can apply them. at what point maxwell Eqs. fails? All four maxwell equations are actually Faraday's and Gauss's laws...

Can anybody point me to some high precision tests of Maxwell's equations. I've tried hard to find some. Skepticism is a curse, I know.

It's obvious that if Maxwell equations are fulfilled by some E(x,y,z,t) and B(x,y,z,t), they are also fullfiled by E(x,y,z,t)+ E_0 and B(x,y,z,t)+B_0, where E_0 and B_0 are constants. This freedom has physical significance as it changes the Lorentz force which act on a charge. It...

Hi everybody, I have this simple question. ¿Where can I find the covariant maxwell equations in materials?. I've already one and proved they correctly represent the non-homogene maxwell equations, is this one \partial_{\nu}F^{\nu\mu}+\Pi^{\mu\nu}A_{\nu}=J^{\mu}_{libre} with the tensor...

hi everyone i want a real explanation to maxwell equations and exactely a meaning physicly to dérivation to an magnitic ... thanks

In a lecture on Maxwell's equations, I noticed that for radiation to occur there has to be acceleration. Does this have any relation to specific heat? I have many questions regarding this, actually. If radiative heat is always mediated by photons, and radiation only occurs with acceleration...

1. Consider the fields: \vec{E} = E0 * cos(kx-wt)\vec{e}1 \vec{B} = B0 * cos(kx-wt)\vec{e}1 Do these fields solve the maxwell equations? if so, what do they describe? 2. Homework Equations \vec{E} = E0 * cos(kx-wt)\vec{e}1 \vec{B} = B0 * cos(kx-wt)\vec{e}1 The...

Does anyone know how to solve or at least how to begin solving the following problem?: Prove that displacement current in the Maxwell equations can be neglected if characteristic time τ of changing electromagnetic field in the system satisfies to the following condition: τ >> L/c where L is...

What is everyones thoughts on the most accurate form of these equations with our current understanding of QM and relativity. Including the fact that a photon has greater than 0 rest mass. Would the two tensor equations of Covariant formulation of classical electromagnetism be the most accurate?

I am trying to bridge a gap between Maxwell equations and Lorentz force. I know that they are not independent and in theory, one could be derived from the other but I cannot see that. More physics oriented people prefer the Lorentz force because it describes the effect of B and E as a final...

http://en.wikipedia.org/wiki/Formulation_of_Maxwell%27s_equations_in_special_relativity#Maxwell.27s_equations Why does 0 = \epsilon^{\alpha \beta \gamma \delta} \frac{\partial F_{\alpha \beta}}{\partial x^\gamma} reduce to 0 = {\partial F_{\alpha\beta}\over\partial x^\gamma} +...

Hi, as you all know one can write the Maxwell-equations in covariant form, namely: \partial_a F^{ab} = \frac{4\pi }{c} j^{b} and \partial_a G^{ab}=0 where \textbf{G} is the dual Tensor to \textbf{F}. Now the two simple questions. I can see that they are invariant, because I...

If there were magnetic monopole, the Maxwell equations should be modified as \nabla\cdot\vec{B} = \mu_0\rho_m \nabla\times\vec{E} = - \frac{\partial \vec{B}}{\partial t} - \mu\vec{J}_m and plus the other two. I wonder how to prove these two modified equations are of correct...

Im doing some study on scalar and vector potentials in the area of electromagnetics, and the author of the book derived this equation \vec{E} = -j\omega\vec{A} - \nabla\phi where \vec{A} = vector potential and \phi = scalar potential and \vec{E} = time harmonic form of electric field...

Homework Statement If the current density is time independent and divergence free, show that the Maxwell Equations separate into independent equations for \vec{E} and \vec{B}. Homework Equations Maxwell's equations The Attempt at a Solution The only Maxwell equation with \vec{j}...

Hi What do the 4 equations say in words? not in math but in words that explains the meaning of them. thanks

Hi: In electromagnetism, Maxwell equations originally were 6, with the aid of vector analysis, these equations were simplified and they became 4, after that with the aid of special relativity and tensor analysis (for the electromagnetic tensor) they became 2. Now I have seen...

In source free case the Maxwell equation are \partial_{\mu}F^{\mu \nu}=0;\,\,\partial_{\mu}\tilde{F}^{\mu \nu}=0 I know how to derive the first equation from action principle. But how do I derive the second one containing dual field tensor form an action principle?It seems in the...

My main question is if the Maxwell equations have been generalized to include extra dimensions in an generally accepted form, or is it still under investigation? I've already read http://arxiv.org/pdf/hep-ph/0609260v4 but I didn't quite like the add-hoc assertion We assert that in all...

hello. i know that the differential form of maxwells equations is generally considered the most elegant and for the most part are easier to apply to most problems, and whichever one you choose integral or differential form you can always work through it. i was wondering if anyone had any...

Anyone know what topic, branch of math, book, or subject I should look up in order to find a formulation for Maxwell's equations in higher spatial dimensions? I don't mean having time as a 4rth dimension. I mean a 4rth (and more) spatial dimension. This would require the maxwell exquations...

Hi!, Solving Maxwell equations for waveguides is a tedious work. :frown: Are there any programs, which can solve Maxwell equations for different kinds (geometries) of waveguides, and can give analytic solutions (i.e. give symbolic equations)? Therefore, the mathematical expressions of Ex...

Hi, i am solving a problem about Maxwell Equation that invoves a lot of Vector Calculus, i have a partial solution for it but i have a few terms missing :cry: , i appreciate any help in this. Thanks The problem is the following Starting with the expression of the force by volume unit over...

Hi, We know that in a space region free from electric charges and surrounded by a conducting surface, the electric field must be zero (this is the Faraday cage). I suspect that this statement can be derived directly from the Maxwell equations, but I don't find this derivation anywhere...

The Dirac equation can be derived from the transformation properties of spin-1/2 systems under pure boosts. This derivation is presented Ryder's Quantum Field Theory. However, the derivation of a similar equation for spin-1 systems is not given. Following the same steps as in Ryder for the Dirac...

I was bored yesterday and started messing around with Maxwell equations to try to solve for electric field for spherically symmetric cases (as opposed to just using the integral formulation). For example, a simple case of a solid sphere with uniform charge distribution \rho. Using Gauss's...

I have posted this in some other physics forum, however, I have not yet gotten any definite answer. Hope some of you can help. I have been trying to understand why in a hollow metal tube, the Maxwell equation admit wave solution, and that they are always TE or TM. In all of the textbooks I...

how do maxwell's equations agree with einstein's special relativety theory??

anyone know of a good website that shows maxwells equations derived out to the rest of the equations in E+M? -nick

[SOLVED] Maxwell Equations: What are all the assumptions used in derivation? I am trying to refute some of the theories of Tesla which are based on his idea that electromagnetic energy is also transmitted via a longitudinal wave. As far as I know Maxwell's equations do not support a...